Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #76 20130812 08:09:04
Re: Change your subject.Sometimes you might call t =0 today for instance. You could run the equation back to t=3. That would be 3 days ago. The variable can take negative values. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #77 20131114 20:53:01
Re: Change your subject.Is a member trying to indicate that a number in a principal square root must have only one answer? #78 20131114 21:15:40
Re: Change your subject.The fellow's post is at #38. #79 20131115 02:45:11
Re: Change your subject.Hi;
In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #80 20131115 19:40:07
Re: Change your subject.So if I am grasping it now, the principal square of a number produces only positive number. #81 20131115 19:49:49
Re: Change your subject.Hi, #82 20131115 19:50:48
Re: Change your subject.
I would say yes. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #83 20131115 20:33:04
Re: Change your subject.Hi, #84 20131115 20:39:03
Re: Change your subject.The square root sign is usually used to indicate the principle square root of a number.The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #85 20131116 01:10:19
Re: Change your subject.Hi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #86 20131116 01:38:34
Re: Change your subject.Okay, what name do we give to a negative square root of a number? Since the positive root number has a name. #87 20131116 01:44:09
Re: Change your subject.They are called complex or imaginary numbers. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #88 20131116 01:55:59
Re: Change your subject.Okay, finally finally. #89 20131116 01:58:40
Re: Change your subject.Both 3 and 3 when squared are 9. But only 3 is the principal square root. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #90 20131116 02:10:06
Re: Change your subject.Please do you have an idea as to why it is called complex or imaginary? #91 20131116 02:14:25
Re: Change your subject.It was called imaginary because in the beginning when the concept of the root of a negative number was proposed most mathematicians did not like it. They called them imaginary numbers to sort of poke fun at the whole idea. Later, as it caught on, complex numbers was name given for them. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #92 20131116 02:52:23
Re: Change your subject.Thanks for that! #93 20131116 02:56:02
Re: Change your subject.When 9 is in the square root sign that means principal square root, just the 3. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #94 20131116 05:25:22
Re: Change your subject.He is asking this:"If we call 3 the principal square root of 9, then what kind of square root of 9 is 3?". The answer is that there is no name given to it. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #95 20131116 05:34:17
Re: Change your subject.We could say it is the root of the equation x^2  9 = 0. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #96 20131116 05:36:30
Re: Change your subject.We could, but, there is still no special name for nonprincipal roots. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #97 20131116 05:41:25
Re: Change your subject.Everything you are saying is true but you are missing the point of my post #93 which essentially makes your post #94 non  essential. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #98 20131116 05:55:46
Re: Change your subject.Actually, #94 is me feeling you have not understood the question. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #99 20131116 05:57:57
Re: Change your subject.Nope, I was dealing with a far more important concept and did not answer that question. Do you see it now? In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #100 20131116 12:54:31
Re: Change your subject.But, what you said in #93 was already told and did not need repeating. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment 